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Finding the Third Proportional to 339,558.75 and 707,022

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Solution

The third proportional to 339,558.75 and 707,022 is: 1,472,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,558.75 : 707,022 = 707,022 : x
  2. Step 2: Convert to fraction form
    339,558.75/707,022 = 707,022/x
  3. Step 3: Cross multiply
    339,558.75x = 707,022 × 707,022
  4. Step 4: Simplify right side
    339,558.75x = 499,880,108,484
  5. Step 5: Solve for x
    x = 499,880,108,484/339,558.75
  6. Step 6: Final answer
    x = 1,472,146.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.